Answers
Answer:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
[tex] 4x + 24 = 7x + 6 [/tex] (substitution)
Collect like terms
[tex] 4x - 7x = -24 + 6 [/tex]
[tex] -3x = - 18 [/tex]
Divide both sides by -3
[tex] x = 6 [/tex]
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20
Related Questions
WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 100th term 14,19,24,29, ...
Answers
Answer: the nth term of the sequence 14, 19, 24, 29 is: 5n+9 so the 100th term of the sequence will be 509.
explanation below:
Step-by-step explanation:
to find the 100th term we will have to find the nth term of the sequence when we have the nth term we need to replace n with the term we need to find and multiply it with the number behind n then subtract or add the number and u will get ur answer.
I hope this helps
Answer:
an=9+5n
a100=509
Step-by-step explanation:
a1=14
19-14=5
24-19=5
29-24=5
d=5
an=a1+(n-1)d
an=14+(n-1)(5)
an=14 +5n -5
an=9+5n
an=a1+(n-1)(d)
a100=14+(100-1)(5)
a100=14+(99)(5)
a100=14+495
a100=509
or
an=9+5n
a100=9+5(100)
a100=9+500
a100=509
4. A woman is standing 30 feet away from a street light that is six feet taller than three times the height
of her. The length of her shadow is two feet less than twice her height. How tall is she?
Answers
9. Which of the following triplets are Pythagorean?
(i) (10,24,26)
(ii) (14,48,50)
(iii) (18,79,82)
(iv) (22,120,122)
Answers
Answer:
i, ii, iv
Step-by-step explanation:
A Pythagorean triplet satisfies the relation:
[tex]\boxed{a^2+b^2=c^2}[/tex]
[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]
[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]
[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]
[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]
Graph: y + 2= -3/4 ( x+4)
Answers
Answer:
The slope is -3/4 y intercept is (0,-5)
Step-by-step explanation:
X Y
-20/3 0
0 5
graph ^
y + 2= -3/4 ( x+4)
Answer:
two points : (0,-5) ( 4 , -8)
Step-by-step explanation: woof
Please kinda urgent! I have to find the slope
Answers
Question 5)
Given the points
(2, 0)(5, 5)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(5,\:5\right)[/tex]
[tex]m=\frac{5-0}{5-2}[/tex]
[tex]m=\frac{5}{3}[/tex]
Therefore, the slope is:
[tex]m=\frac{5}{3}[/tex]
Question 6)
Given the points
(-1, 0)(-2, 3)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]
[tex]m=\frac{3-0}{-2-\left(-1\right)}[/tex]
[tex]m=-3[/tex]
Therefore, the slope is:
[tex]m=-3[/tex]
Question 7)
Given the points
(-1, -1)(1, 3)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:3\right)[/tex]
[tex]m=\frac{3-\left(-1\right)}{1-\left(-1\right)}[/tex]
[tex]m=2[/tex]
Therefore, the slope is:
[tex]m=2[/tex]
Question 8)
Given the points
(2, 0)(-2, 4)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex]
[tex]m=\frac{4-0}{-2-2}[/tex]
[tex]m=-1[/tex]
Therefore, the slope is:
[tex]m=-1[/tex]
Question 9)
Given the points
(0, 1)(4, -2)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]
[tex]m=\frac{-2-1}{4-0}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Therefore, the slope is:
[tex]m=-\frac{3}{4}[/tex]
Question 10)
Given the points
(0, 2)(1, -3)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-3\right)[/tex]
[tex]m=\frac{-3-2}{1-0}[/tex]
[tex]m=-5[/tex]
Therefore, the slope is:
[tex]m=-5[/tex]
2. Given: m
m
m
Find: m
Answers
Answer:
Take m 3 cube and find m.
Twenty times one hundred and one (20 x 101)
Answers
Answer:
2020
Step-by-step explanation:
2020
What is the equation of the line that passes through the point (4, 7) and has a slope
of 0?
Answers
Answer:
I think it's y= 7
if you put it into a graph calculator such as desmos it passes straight through (4,7) and has a slope of 0
Hope this helps have a wonderful day :)
Four friends go to the movies.Each movie ticket costs $8.They buy 2 tubs of popcorn for $6 each.They also buy a box of candy to share for $4.They friends want to split the total cost evenly.How much does each friend owe?
Answers
Answer:
$ 4 i believe
Step-by-step explanation:
Answer:
Each friend owes 12 Dollars
Step-by-step explanation:
After adding all the cost up, the total cost was 48. And 48 divided by four is 12.
A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consisted of 206 stores. If the number of stores opening per year is increasing at an exponential rate, identify the continuous rate of growth. Round k to the nearest hundredth. *
Answers
Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
[tex]\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621[/tex]
Hence the value of k to the nearest hundredth is 0.66
There are 37 cans of pinapple on each shelf at foodmart. if there are 7 shelves of pineapple, estimate the number of cans of pineapple at foodmart by rounding the number of cans on a shelf to the nearest ten
Answers
answer may be 260 cans if estimate
Step-by-step explanation:
1 shelf = 37 cans
7 shelves = 37× 7
estimate ~ 260 cans
HEEEEEEEELLLLLLLLPPPPPPPPP!!!!!!!!!!!!
A Toyhouse is 3 and 1/2 inches long, what would the length of the house if it was life-sized.
ILL GIVE BRAINLIEST IF THE QUESTION IS CORRECT!!!!
Answers
70ft bc 3.5inchs x 20 = 70 and u gotta add the unit, so its 70 ft!
F(-8)=7(1-8) answer needed asap
Answers
Answer:
57
Step-by-step explanation:
a recipe uses 1 and 1/4 of milk to make 10 servings if the same amount of milk is made for each serving how many serving can be made using 1 gallon?
Answers
Answer:
12.8
Step-by-step explanation:
1 1/4 cup of milk? if it is- 16 cups / gal
16/1 1/4 = 12.8 servings
PLZZ HELP!! LAST QUESTION ON MY TEST!!
Is the graph linear or non-linear? Explain your answer.
Answers
Answer:
non linear. its not a straight line. it has curves and breaks.
Step-by-step explanation:
Answer:
Non linear ofc
Linear = straight line
The line on the graph is not straight
Step-by-step explanation:
A construction company bought 5/6 of a pound of sand and mixed it with 2 2/3 pounds of cement. A construction worker used 1 1/3 pounds of the mixture. How much of the mixture is left?
Help me please! I also need proof you are right in the explanation!
Answers
I think I’m right, but here;
5/6 + 2-2/3 = 3 1/2
Then you subtract how much the person used,
2-2/3 - 1-1/3 = 1 - 1/3 or 1.3333333 (repeated)
I think. It came out as a repeated decimal, but I just put it in fraction form.
I hope this helped :]
When a plumber is called, the cost of the service call is $50 for him to show up at your house, plus an additional $25 per hour.
What is the slope ?
y is the total cost of the service call and x is the number of hours the plumber is at your home
Answers
y=mx+b with m representing slope
y=25x+50
Answer:
The slope is 25
y=mx+b with m representing slope
y=25x+50
Step-by-step explanation:
PLZ HELP ASAP!!!!!!
Answers
Answer:
radius is 7yd, height is 4 yd, v=3.14 x 7^2 x 4. The last one, I'm not too sure about but it might be V= 615.44^3
Step-by-step explanation:
1 2 3 or 4 ? someone help
Answers
Answer:
4
Step-by-step explanation:
combine the ones with the x first: 16/4x+1/4x = 17/4x
combine the ones with the n: -1/5n+1/3n = -3/15n+5/15n = 2/15n
combine: 17/4x+2/15n (17/4 is also equal to 4 1/4)
4
Answer:4
- Can someone help me please?
Answers
Part B is 17.
A dry cleaner charges $5.00 to clean one item. He offers to clean a second item for $4.50, and a third for $4.00. If he continues to subtract $0.50 for each additional item, how much will it cost to clean six items?
MARKING BRAINLEST IF HURRY
Answers
Answer:$2.50 to clean 6 items
Step-by-step explanation:
$5.00-0.5=$4.5= 2 items
$4.5-0.5=$4= 3 items
$4-0.5=$3.5= 4 items
$3.5-0.5=$3= 5 items
$3-0.5=$2.5= 6 items
–9.4 >(greater than or equal to) 1.7x + 4.2.
Answers
Answer:
negative 8
Step-by-step explanation:
Answer:
A, or x < -8 (:Step-by-step explanation:
Which graph represents –4 + 3i?
Answers
Step-by-step explanation:
you may need to show what the graphs look like.
Graph represents -4+3i is shown in the figure
What is graph?A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related",
Given,
-4+3i
Here -4 is in real axis and 3 is in imaginary axis
Graph is shown in the figure,
Hence, the graph of the -4+3i has been plotted
Learn more about Graph here
https://brainly.com/question/16608196
#SPJ2
CAN SOMEONE HELP ME PLZ ASAP >_<
dont spam ;p
Answers
Answer:
(5, 3)
Step-by-step explanation:
since you're reflecting across the x axis only the (y) value will change and since the y was originally negative (-3), it now becomes positive but doesn't change in value (3).
A clothing store is going out of
business and everything is 75% off.
Answers
Answer:
Cool where the rest of the problem
Step-by-step explanation:
Solve the system using elimination.
3x+3y = 27
x-3y=-11
O A. (8.1)
O B. (3.6)
O C. (6:3)
O D. (4.5)
Answers
Answer:
B
Step-by-step explanation:
Answer:
3.6
Step-by-step explanation:
Ella purchased 8 passes to the skating rink for $58.00. Each pass cost the same amount. What was the cost of each pass in dollars and cents?
Which ratios are equivalent? Check all that apply.
09:15 and 18:30
21:25 and 30:50
0 3:5 and 5:10
5:6 and 20:24
Please help me I’m in 6th grade
Answers
Answer:
9:15 and 18:30 are equivalent. Both ratios are multiplied by 2
5:6 and 20:24 are equivalent. Both ratios are multiplied by 4
Answer:
09:15 and 18:30 and 5:6 and 20:24
Step-by-step explanation:
9+9 = 18 and 15 + 15 = 30. Thats how you get 18:30. Next, 5x4 = 20 and 6x4 = 24. 20:24. Hope this helps you :)
Jose earns $3680 per month, of which 22% is taken out of his paycheck for federal and state income taxes and other required deductions. Last month he spent $755 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined?
Answers
Answer:
29.30%
Step-by-step explanation:
Total Monthly earnings of Jose = $3680
22% is paid for federal and state income taxes and other deductions.
Take-home salary for Jose is total earnings minus the taxes and deductions.
Take-home salary = $3680 - 22% of $3680
Take-home salary = $3680 - $809.6 = $2870.4
Money spent on rent = $755
Money spent on clothing = $86.12
Money spent on rent and clothing combined = $841.12
Percentage of a quantity is given as the quantity divided by the total quantity multiplied with 100.
Therefore,
Percentage of take-home pay spent on rent and clothing:
[tex]\dfrac{841.12}{2870.4}\times 100 = \bold{29.30\%}[/tex]
A graph showing an increase in sales over time would have an)
a. positive slope
C.
undefined slope
b. negative slope
d. slope of 0
Answers
Answer:
A positive slope
Step-by-step explanation:
If sales are increasing then the income should increaseing and positive.
URGENT
If you are given 8 gallons of water, approximately how many liters is that? (You know 1 pt = 0.47 L and there are 8 pints in a gallon). 30 02 O
Answers
Answer:
30.2833 liters.
Step-by-step explanation:
The answer is 30.2833 because 1 gallon is equal to 3.785 and that multiplied by 8 is 30.2833
Answer:
30.28329424 if you want the approximate I believe it'd be 30.3
Step-by-step explanation: